Endpoint Estimates For Riesz Transform And Hardy-Hilbert Type Inequalities

2023/02/27 by He, Dangyang
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.13739

Abstract

We consider a class of non-doubling manifolds M defined by taking connected sum of finite Riemannian manifolds with dimension N which has the form ℝ^n_i× M_i and the Euclidean dimension n_i are not necessarily all the same. In arXiv:1805.00132v3 [math.AP], Hassell and Sikora proved that the Riesz transform on M is weak type (1,1), bounded on L^p(M) for all 1

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